中立型時滯系統(tǒng)的穩(wěn)定性研究.pdf

1、中國科學(xué)技術(shù)大學(xué)碩士學(xué)位論文中立型時滯系統(tǒng)的穩(wěn)定性研究姓名：胡勇申請學(xué)位級別：碩士專業(yè)：控制理論與控制工程指導(dǎo)教師：康宇20110501ABSTRACTABSTRACTDelayphenomenonarefrequentlyencounteredinmanyfieldsofscienceengineering.Theexistenceoftimedelaysmayleadtooscillationdivergenceinstabilit

2、y.Meovertimedelaysofneutralsystemsexistnotonlyinitsstatesbutalsointhederivativesofthestatesthatmakesthesystemmuchhardertostabilize.Therefethesubjectofthestabilityanalysisofneutralsystemsisofboththeypracticalvaluehasattra

3、ctedconsiderableattentionduringthepasttwodecades.BasedonLyapunovstabilitytheythestabilityofneutralsystemswithconstantdelaysneutralsystemswithtimevaryingdelaysneutralsystemswithdistributeddelaysisanalyzed.Themainresultsar

4、easfollows:1.Duringthestudyofthestabilityofretardeddelaysystemdiscretedelayintervaldividingapproachisadoptedimprovedinthisdissertation.ByemployingnewfmofLyapunovfunctionslessconservativecriteriaareobtained.Thentheapproac

5、hisappliedtotwoclassesoftheneutralsystemswithconstantdelays(identicaldiscreteneutraldelaydifferentdiscreteneutraldelay).Itprovesthattheapproachisapplicablefbothdiscretedelayneutraldelay.2.Fstabilityofsystemswithtimevaryi

6、ngdelaysotherthantherestrictionofcurrentmethodtimevaryingdelaysarediscussedindifferentintervalsmenegativedefiniteintegraltermsareutilizedlesstimesofamplificationaremade.Onthebasisofimprovementofcurrentmethodcombiningwith

7、delaydividingapproachmeconservativeresultsarederived.Ftheneutralsystemswithtimevaryingdelaymakingthebestofinfmationoftimevaryingdelaysemployingthenewmethodofdealingwiththetimevaryingdelaystheresultsareapplicablefnotonlyq

8、uickvaryingdelaybutalsoslowvaryingdelay.Thennumericalexamplesaregiventodemonstratetheeffectivenessoftheresults.3.Bydelayintervaldividingapproachtherobuststabilityofneutralsystemswithdistributeddelaystimevaryingstructured

9、uncertaintiesisstudiedthediscretedelaydependentneutraldelaydependentdistributeddelaydependentcriteriaareobtained.4.Baseonthedoublestageddissolutiontankinchemicalprocessaclassofbilinearneutralsystemsaremodeledaccdingtothe